Extended Wronskian formula for solutions to the Korteweg-deVries equation

被引：4
作者：
Ge, Jian-Ya [1 ]
Zhang, Yi [2 ]
Chen, Deng-Yuan [3 ]
机构：
[1] Jinhua Vocat & Tech Coll, Jinhua 321007, Peoples R China
[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
[3] Shanghai Univ, Dept Math, Shanghai 200436, Peoples R China
来源：
ISND 2007: PROCEEDINGS OF THE 2007 INTERNATIONAL SYMPOSIUM ON NONLINEAR DYNAMICS, PTS 1-4 | 2008年 / 96卷
关键词：
D O I：
10.1088/1742-6596/96/1/012071
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A matrix extension is presented for constructing a much broader class of exact solutions to the KdV equation through the Wronskian formulation. The present method can be applied to other-soliton equations.
引用
收藏
页数：8
相关论文
共 50 条
[11]   ASYMPTOTIC SOLUTIONS OF KORTEWEG-DEVRIES EQUATION [J].
ABLOWITZ, MJ ;
SEGUR, H .
STUDIES IN APPLIED MATHEMATICS, 1977, 57 (01) :13-44
[12]   EXISTENCE OF UNBOUNDED SOLUTIONS OF KORTEWEG-DEVRIES EQUATION [J].
MENIKOFF, A .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1972, 25 (04) :407-+
[13]   EXISTENCE AND REGULARITY FOR SOLUTIONS OF THE KORTEWEG-DEVRIES EQUATION [J].
COHEN, A .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1979, 71 (02) :143-175
[14]   REPRESENTATIONS OF THE MULTISOLITON SOLUTIONS OF THE KORTEWEG-DEVRIES EQUATION [J].
BRYAN, AC ;
STUART, AEG .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1994, 22 (05) :561-566
[15]   A NOTE ON SINGULAR SOLUTIONS OF THE KORTEWEG-DEVRIES EQUATION [J].
JAWORSKI, M .
PHYSICS LETTERS A, 1984, 100 (07) :321-324
[16]   UNIQUENESS OF SOLUTIONS FOR THE GENERALIZED KORTEWEG-DEVRIES EQUATION [J].
GINIBRE, J ;
TSUTSUMI, Y .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1989, 20 (06) :1388-1425
[17]   ON THE ASYMPTOTIC PROPERTIES OF SOLUTIONS OF THE KORTEWEG-DEVRIES EQUATION [J].
ALONSO, LM .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1984, 17 (13) :2729-2731
[18]   EXISTENCE AND UNIQUENESS OF SOLUTIONS OF THE GENERALIZED KORTEWEG-DEVRIES EQUATION [J].
GINIBRE, J ;
TSUTSUMI, Y ;
VELO, G .
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1989, 308 (07) :219-224
[19]   EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR THE GENERALIZED KORTEWEG-DEVRIES EQUATION [J].
GINIBRE, J ;
TSUTSUMI, Y ;
VELO, G .
MATHEMATISCHE ZEITSCHRIFT, 1990, 203 (01) :9-36
[20]   SOLUTIONS OF KORTEWEG-DEVRIES EQUATION FROM IRREGULAR DATA [J].
MURRAY, AC .
DUKE MATHEMATICAL JOURNAL, 1978, 45 (01) :149-181
12345